Question

Could you tell me the process of solving the problem?

Answer 1

Given:

`Ln8=(2\pi m\xi)/(√(1-\xi^2))`

m=250

Required:

Find the value of

`\xi`

Step-by-step explanation:

The value of ln8 is:

`ln8=2.079`
`\begin{gathered} 2.079=(2*3.14*\xi)/(√(1-\xi^2)) \\ 2.079(√(1-\xi^2))=6.28\xi^ \end{gathered}`

Take the square on both sides.

`\begin{gathered} 4.322(1-\xi^2)=39.44\xi^2 \\ (1-\xi^2)/(\xi^2)=(39.4384)/(4.322) \\ (1)/(\xi^2)-1=9.125 \\ (1)/(\xi^2)=9.125+1 \\ (1)/(\xi^2)=10.125 \end{gathered}`